Least Common Multiple of 185/422, 335/980, 755/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/422, 335/980, 755/896 quickly i.e. 1871645/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/422, 335/980, 755/896 is 1871645/2.

LCM(185/422, 335/980, 755/896) = 1871645/2

LCM of 185/422, 335/980, 755/896

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 185/422,335/980,755/896

Given numbers are 185/422,335/980,755/896

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 185,335,755

Least Common Multiple of Numerators i.e. LCM of 185,335,755 is 1871645.

GCF of Denominators means GCF of 422,980,896 as per the given fractions.

GCF of 422,980,896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,335,755

LCM of Fractions 185/422,335/980,755/896 is 1871645/2

5 185, 335, 755
37, 67, 151

∴ So the LCM of the given numbers is 5 x 37 x 67 x 151 = 1871645

Least Common Multiple of 185,335,755 with GCF Formula

Least Common Multiple of 185,335,755 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 185,335,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,335,755) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(185,335,755) x common factors =5 x 5 = 25

LCM(185,335,755) = ( 185 × 335 × 755 ) / 25

LCM(185,335,755) = 46791125 / 25

LCM(185,335,755) = 1871645


Lets's calculate GCF of 422,980,896

2 422, 980, 896
211, 490, 448

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1871645/2

Therefore the LCM of Fractions 185/422,335/980,755/896 is 1871645/2

Greatest Common Factor of 422,980,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,980,896 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 422,980,896 . The biggest common factor number is the GCF number.
So the greatest common factor 422,980,896 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 185/422, 335/980, 755/896

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 185/422, 335/980, 755/896?

Answer: LCM of Numerators as per given numbers 185/422, 335/980, 755/896 is

LCM of Numerators i.e. for 185,335,755 is 1871645

GCF of denominators i.e. for 422,980,896 is 2.

Thus, LCM of Fractions is 1871645/2.Finally, LCM of Fractions for 185/422, 335/980, 755/896 is 1871645/2.